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Theory of Structures

Theory of Structures
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

3
1
4
2

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

4.125 cm²
2.125 cm³
3.125 cm³
1.125 cm³

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Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL²/2EI
WL3/3EI
WL²/3EI
WL3/2EI

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Theory of Structures
A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is

80 N/mm²
150 N/mm²
120 N/mm²
100 N/mm 2

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Theory of Structures
The area of the core of a column of cross sectional area A, is

(1/3) A
(1/18) A
(1/6) A
(1/12) A

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Theory of Structures
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

4W²D3n/d4N
4W²D3n²/d4N
4W²Dn/d4N
4WD²n/d4N

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